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Finding the Third Proportional to 80,864 and 115,790

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Solution

The third proportional to 80,864 and 115,790 is: 165,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,864 : 115,790 = 115,790 : x
  2. Step 2: Convert to fraction form
    80,864/115,790 = 115,790/x
  3. Step 3: Cross multiply
    80,864x = 115,790 × 115,790
  4. Step 4: Simplify right side
    80,864x = 13,407,324,100
  5. Step 5: Solve for x
    x = 13,407,324,100/80,864
  6. Step 6: Final answer
    x = 165,800.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.